Rewrite as a simplified fraction 3.1 (3 repeating)

Answer 1

To rewrite 3.1 (3 repeating) as a simplified fraction, we can let x = 3.1 (3 repeating):
x = 3.133333...
Multiplying both sides by 10 to eliminate the repeating decimal, we get:
10x = 31.333333...
Subtracting the equation x from 10x, we have:
10x - x = 31.333333... - 3.133333...
9x = 28.2
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 9:
x = 28.2/9 = 14.1/4.5
Therefore, 3.1 (3 repeating) can be simplified to 14.1/4.5.

Answer 2

Normally, fractions are not written having decimal numbers in the numerator and denominator. So, while 14.1/4.5 is in fact a correct value, it is not acceptable as a simplified fraction.

We all know that 0.33333... = 1/3
so, 3.133333... = 3 1/10 + 1/30 = 3 2/15 = 47/15

Answer 3

Sorry for the mistake. You are correct.

The fraction 3.1 (3 repeating) can be simplified to 47/15.